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Finding the Fourth Proportional to 114,041.10, 171,045.45 and 39,164.70

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Solution

The fourth proportional to 114,041.10, 171,045.45 and 39,164.70 is: 58,741.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,041.10 : 171,045.45 = 39,164.70 : x
  2. Step 2: Convert to fraction form
    114,041.10/171,045.45 = 39,164.70/x
  3. Step 3: Cross multiply
    114,041.10x = 171,045.45 × 39,164.70
  4. Step 4: Simplify right side
    114,041.10x = 6,698,943,735.62
  5. Step 5: Solve for x
    x = 6,698,943,735.62/114,041.10
  6. Step 6: Final answer
    x = 58,741.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.